This is a question specifically about the Marvel Cinematic Universe version of Daredevil (in other words, Netflix's recent Daredevil television series).

For most of Season 1, Matt Murdock does not have a "suit" in the superhero sense. About three quarters of the way through the season, he becomes impressed by the resistance of Wilson Fisk's business suit to laceration. It is remarked that the material is unusual and probably especially expensive.

Murdock subsequently arranges for his eventual Daredevil suit to be fashioned from the same material, by going straight to the source (a metalsmith who had been coerced to work for Fisk).

Is this material vibranium?

The series begins by making decidely veiled references to other previous cinematic events, including referring to Loki's invasion of Earth as only "the incident". Consistent with this, they may not wish to use the word "vibranium" explicitly.

Also, according to this answer, vibranium actually first appeared in a Daredevil comic, although I don't know the context of the appearance.

Is there any evidence that this material in the television series is spun from some form of vibranium? Is there a statement otherwise?

It might have some vibranium threads...pure vibranium is solid, right?
– AdamantSep 26 '16 at 1:41

@Adamant : I'm curious if vibranium is involved in any way in the production of the material / suit.
– PraxisSep 26 '16 at 2:08

The Punisher broke Daredevil's mask with a headshot, so it's unlikely to be pure vibranium.
– Rogue JediSep 26 '16 at 2:12

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@RogueJedi : Indeed, it may not be pure. But recall that a big deal was also made about Punisher's hardware. It was remarked that the bullets passed through a wall and then through both sides of a bullet-proof vest. This begs the question of what they're made from, too.
– PraxisSep 26 '16 at 2:19

1

The movies and the shows make references to each other frequently. In particular, "Agents of SHIELD" interleaves with the Avengers/Avengers member movies.
– Russell BorogoveSep 26 '16 at 14:14

3 Answers
3

Possibly, but most likely not

In universe

There isn't much exact information about what the suit is comprised of. This may be due to intentional vagueness from the writers.

What we know for sure is that it contains alloys and carbon nanotube based allows:

... After Daredevil's first meeting with Punisher, Potter increased the durability of the suit by adding extra plating and reinforcing the red regions of the suit. Per his recommendation, Potter also incorporated a new carbon nanotube-based alloy which he said was "near indestructible" into a new helmet that included red lenses in the eye holes. He also added advanced alloy gauntlets to the suit's gloves as a bonus. ... -Daredevil's Suit

The reasons why I personally believe that it can't be Vibranium, is that Vibranium in the MCU is extremely rare (at least prior to the events of Age of Ultron), with Captain America's shield being the only bit of Vibranium that the US has access to.

Vibranium is also ridiculously expensive, and although Wilson Fisk could probably afford it, a simple blacksmith from Hell's Kitchen probably can't - and remember, Potter created Daredevil's suit pro bono.

Other possibilities

Kevlar
I'd say most likely that the suit contains some combination of kevlar and light-weight alloys.

You see, kevlar can protect against bullet damage, as well as cuts and abrasions:

Kevlar is used to manufacture gloves, sleeves, jackets, chaps and other articles of clothing designed to protect users from cuts, abrasions and heat. Kevlar-based protective gear is often considerably lighter and thinner than equivalent gear made of more traditional materials. - https://en.wikipedia.org/wiki/Kevlar#Personal_protection

Line-X SprayLine-X spray is commonly used in truck bed application to strengthen and protect the surface. The company which developed it has recently created a new application of the material called Paxcon which can be used in body armour.

Here's a cool video demonstration of the capabilities of the spray.

Melvin Potter is a mechanic. As such, he could have knowledge of this awesome stuff and may have indeed applied it to parts of the suit (especially the helmet, shin pads and greaves).

Handwavium
This is the MCU after all, and it wouldn't be complete without a bit of "handwaving". We can chalk up this mysterious substance to some sort of unexplained material. It could also mean that the alloys and alloy composites are in fact Vibranium based, just not confirmed to be.

I had interpreted that scene as the suit was not yet finished, and the color corresponded to the degree of finish. So I actually interpreted the strength of the suit as coming from some kind of chemical treatment or coating. I could have completely misread the scene though.
– Michael RichardsonSep 26 '16 at 17:58

Absolutely not. Vibranium's rarity makes it one of the hardest to find substances on Earth. The only known source of the material can be found in the African nation of Wakanda. Even as connected as the Kingpin was, it is unlikely he could manage to afford even a sliver of this rare material.

The only other supplies of vibranium were found in the body of Ultron and that vibranium was stolen from Wakanda. The only other active amounts of Vibranium is in the armored habit of the Black Panther.

Daredevil's suit was made from the same material Melvin Potter used to line both Wilson Fisk and Leland Owlsley's suits. The material was light yet at the same time, it was extremely durable. It was unlike anything Murdock had ever felt. Drawing from Murdock's devout Catholicism, the suit is designed to resemble the Devil, complete with horns on the cowl helmet. This was accentuated by the red color scheme, and contributed to the name given to him by the media: Daredevil.

The suit provided Daredevil with enhanced protection, however the original prototype was incomplete and not properly refined. The red areas on the suit could only protect against knives depending on the angle, while the black parts which were bullet resistant and would offer significantly more protection. After Daredevil's first meeting with Punisher, Potter increased the durability of the suit by adding extra plating and reinforcing the red regions of the suit. Per his recommendation, Potter also incorporated a new carbon nanotube-based alloy which he said was "near indestructible" into a new helmet that included red lenses in the eye holes. He also added advanced alloy gauntlets to the suit's gloves as a bonus.